activity
20132022
most citedStar edge coloring of some classes of graphs

42 citations · 65 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2022★ 5 cited

Revisiting Semistrong Edge-Coloring of Graphs

Borut Lužar, Martina Mockovčiaková, Roman Soták

A matching in a graph is {\em semistrong} if every edge of has an endvertex of degree one in the subgraph induced by the vertices of . A {\em semistrong edge-colorin…

math.CO2020★ 1 cited

Star Edge-Coloring of Square Grids

Přemysl Holub, Borut Lužar, Erika Mihaliková +2

A star edge-coloring of a graph is a proper edge-coloring without bichromatic paths or cycles of length four. The smallest integer such that admits a star edge-coloring…

math.CO2018

On non-repetitive sequences of arithmetic progressions:the cases

Borut Lužar, Martina Mockovčiaková, Pascal Ochem +2

A -subsequence of a sequence is a subsequence , for any positive integer and any , . A \textit{-Thue seque…

math.CO2017★ 9 cited

Note on list star edge-coloring of subcubic graphs

Borut Lužar, Martina Mockovčiaková, Roman Soták

{\emph A star edge-coloring} of a graph is a proper edge-coloring without bichromatic paths and cycles of length four. In this paper, we consider the list version of this coloring…

math.CO2013★ 42 cited

Star edge coloring of some classes of graphs

Ľudmila Bezegová, Borut Lužar, Martina Mockovčiaková +2

\textit{A star edge coloring} of a graph is a proper edge coloring without bichromatic paths and cycles of length four. In this paper we establish tight upper bounds for trees and…

math.CO2013★ 8 cited

l-facial edge colorings of graphs

Borut Lužar, Martina Mockovčiaková, Roman Soták +2

An l-facial edge coloring of a plane graph is a coloring of the edges such that any two edges at distance at most l on a boundary walk of some face receive distinct colors. It is c…